The area of 1963.46 square inches covered by the motion of the blades when turned on.
Step-by-step explanation:
The given is,
The arm of a ceiling fan measures length of 25 inches.
Step:1
When the fan turned on it makes a rotation of blades. It is in the circular form.
Formula to calculate the area of circle,
[tex]A= \pi r^{2}[/tex]...................................(1)
Where, r - Radius of circle
From the given values,
Length of fan arm = r = 25 inches
Equation (1) becomes,
[tex]=\pi (25)^{2}[/tex]
[tex]=\pi (625)[/tex]
[tex]=(\frac{22}{7} )(625)[/tex]
= 1963.49
= 1963.49 square inches
Area covered by fan = 1963.49 square inches
Result:
The area of 1963.46 square inches covered by the motion of the blades when turned on.